Open Access
2013 Flux limited generalized porous media diffusion equations
V. Caselles
Publ. Mat. 57(1): 144-217 (2013).


We study a class of generalized porous media type flux limited diffusion equations and we prove the existence and uniqueness of entropy solutions. We compute the Rankine-Hugoniot condition on the jump set for solutions which are of locally bounded variation in space and time. We give also a geometric characterization of the entropy conditions on the jump set for a restricted class of this type of equations.


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V. Caselles. "Flux limited generalized porous media diffusion equations." Publ. Mat. 57 (1) 144 - 217, 2013.


Published: 2013
First available in Project Euclid: 18 December 2012

zbMATH: 1282.35205
MathSciNet: MR3058932

Primary: 35K15 , 35K55 , 35K65

Keywords: Degenerate parabolic equations , flux limited diffusion , nonlinear semigroup

Rights: Copyright © 2013 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.57 • No. 1 • 2013
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